A wire of length \(20 \mathrm{~m}\) is to be cut into two pieces one of the pieces is to be made into a square and the o…

A wire of length \(20 \mathrm{~m}\) is to be cut into two pieces one of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side (in meters) of the hexagon, so that the combined area of the square and the hexagon is minimum, is:

[JEE Main 2021, 27 Aug (Shift 1)]